module Tests.Face
where
+import Control.Monad (unless)
+import Test.HUnit
import Test.QuickCheck
import Comparisons
-import Cube (Cube(grid), top)
+import Cube (Cube(grid), cube_at, top)
import Face (face0,
face2,
face5,
tetrahedron2,
tetrahedron3,
tetrahedrons)
-import Grid (Grid(h))
+import Grid (Grid(h), make_grid)
+import Point
import Tetrahedron
+
+-- HUnit tests.
+
+-- | An HUnit assertion that wraps the almost_equals function. Stolen
+-- from the definition of assertEqual in Test/HUnit/Base.hs.
+assertAlmostEqual :: String -> Double -> Double -> Assertion
+assertAlmostEqual preface expected actual =
+ unless (actual ~= expected) (assertFailure msg)
+ where msg = (if null preface then "" else preface ++ "\n") ++
+ "expected: " ++ show expected ++ "\n but got: " ++ show actual
+
+
+-- | An HUnit assertion that wraps the is_close function. Stolen
+-- from the definition of assertEqual in Test/HUnit/Base.hs.
+assertClose :: String -> Point -> Point -> Assertion
+assertClose preface expected actual =
+ unless (actual `is_close` expected) (assertFailure msg)
+ where msg = (if null preface then "" else preface ++ "\n") ++
+ "expected: " ++ show expected ++ "\n but got: " ++ show actual
+
+
+-- | Values of the function f(x,y,z) = 1 + x + xy + xyz taken at nine
+-- points (hi, hj, jk) with h = 1. From example one in the paper.
+-- Used in the next bunch of tests.
+trilinear :: [[[Double]]]
+trilinear = [ [ [ 1, 2, 3 ],
+ [ 1, 3, 5 ],
+ [ 1, 4, 7 ] ],
+ [ [ 1, 2, 3 ],
+ [ 1, 4, 7 ],
+ [ 1, 6, 11 ] ],
+ [ [ 1, 2, 3 ],
+ [ 1, 5, 9 ],
+ [ 1, 8, 15 ]]]
+
+-- | Check the value of c0030 for any tetrahedron belonging to the
+-- cube centered on (1,1,1) with a grid constructed from the
+-- trilinear values. See example one in the paper.
+test_trilinear_c0030 :: Test
+test_trilinear_c0030 =
+ TestCase $ assertAlmostEqual "c0030 is correct" (c t 0 0 3 0) (17/8)
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c0003 for any tetrahedron belonging to the
+-- cube centered on (1,1,1) with a grid constructed from the
+-- trilinear values. See example one in the paper.
+test_trilinear_c0003 :: Test
+test_trilinear_c0003 =
+ TestCase $ assertAlmostEqual "c0003 is correct" (c t 0 0 0 3) (27/8)
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c0021 for any tetrahedron belonging to the
+-- cube centered on (1,1,1) with a grid constructed from the
+-- trilinear values. See example one in the paper.
+test_trilinear_c0021 :: Test
+test_trilinear_c0021 =
+ TestCase $ assertAlmostEqual "c0021 is correct" (c t 0 0 2 1) (61/24)
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c0012 for any tetrahedron belonging to the
+-- cube centered on (1,1,1) with a grid constructed from the
+-- trilinear values. See example one in the paper.
+test_trilinear_c0012 :: Test
+test_trilinear_c0012 =
+ TestCase $ assertAlmostEqual "c0012 is correct" (c t 0 0 1 2) (71/24)
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c0120 for any tetrahedron belonging to the
+-- cube centered on (1,1,1) with a grid constructed from the
+-- trilinear values. See example one in the paper.
+test_trilinear_c0120 :: Test
+test_trilinear_c0120 =
+ TestCase $ assertAlmostEqual "c0120 is correct" (c t 0 1 2 0) (55/24)
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c0102 for any tetrahedron belonging to the
+-- cube centered on (1,1,1) with a grid constructed from the
+-- trilinear values. See example one in the paper.
+test_trilinear_c0102 :: Test
+test_trilinear_c0102 =
+ TestCase $ assertAlmostEqual "c0102 is correct" (c t 0 1 0 2) (73/24)
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c0111 for any tetrahedron belonging to the
+-- cube centered on (1,1,1) with a grid constructed from the
+-- trilinear values. See example one in the paper.
+test_trilinear_c0111 :: Test
+test_trilinear_c0111 =
+ TestCase $ assertAlmostEqual "c0111 is correct" (c t 0 1 1 1) (8/3)
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c0210 for any tetrahedron belonging to the
+-- cube centered on (1,1,1) with a grid constructed from the
+-- trilinear values. See example one in the paper.
+test_trilinear_c0210 :: Test
+test_trilinear_c0210 =
+ TestCase $ assertAlmostEqual "c0210 is correct" (c t 0 2 1 0) (29/12)
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c0201 for any tetrahedron belonging to the
+-- cube centered on (1,1,1) with a grid constructed from the
+-- trilinear values. See example one in the paper.
+test_trilinear_c0201 :: Test
+test_trilinear_c0201 =
+ TestCase $ assertAlmostEqual "c0201 is correct" (c t 0 2 0 1) (11/4)
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c0300 for any tetrahedron belonging to the
+-- cube centered on (1,1,1) with a grid constructed from the
+-- trilinear values. See example one in the paper.
+test_trilinear_c0300 :: Test
+test_trilinear_c0300 =
+ TestCase $ assertAlmostEqual "c0300 is correct" (c t 0 3 0 0) (5/2)
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c1020 for any tetrahedron belonging to the
+-- cube centered on (1,1,1) with a grid constructed from the
+-- trilinear values. See example one in the paper.
+test_trilinear_c1020 :: Test
+test_trilinear_c1020 =
+ TestCase $ assertAlmostEqual "c1020 is correct" (c t 1 0 2 0) (8/3)
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c1002 for any tetrahedron belonging to the
+-- cube centered on (1,1,1) with a grid constructed from the
+-- trilinear values. See example one in the paper.
+test_trilinear_c1002 :: Test
+test_trilinear_c1002 =
+ TestCase $ assertAlmostEqual "c1002 is correct" (c t 1 0 0 2) (23/6)
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c1011 for any tetrahedron belonging to the
+-- cube centered on (1,1,1) with a grid constructed from the
+-- trilinear values. See example one in the paper.
+test_trilinear_c1011 :: Test
+test_trilinear_c1011 =
+ TestCase $ assertAlmostEqual "c1011 is correct" (c t 1 0 1 1) (13/4)
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c1110 for any tetrahedron belonging to the
+-- cube centered on (1,1,1) with a grid constructed from the
+-- trilinear values. See example one in the paper.
+test_trilinear_c1110 :: Test
+test_trilinear_c1110 =
+ TestCase $ assertAlmostEqual "c1110 is correct" (c t 1 1 1 0) (23/8)
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c1101 for any tetrahedron belonging to the
+-- cube centered on (1,1,1) with a grid constructed from the
+-- trilinear values. See example one in the paper.
+test_trilinear_c1101 :: Test
+test_trilinear_c1101 =
+ TestCase $ assertAlmostEqual "c1101 is correct" (c t 1 1 0 1) (27/8)
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c1200 for any tetrahedron belonging to the
+-- cube centered on (1,1,1) with a grid constructed from the
+-- trilinear values. See example one in the paper.
+test_trilinear_c1200 :: Test
+test_trilinear_c1200 =
+ TestCase $ assertAlmostEqual "c1200 is correct" (c t 1 2 0 0) 3
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c2010 for any tetrahedron belonging to the
+-- cube centered on (1,1,1) with a grid constructed from the
+-- trilinear values. See example one in the paper.
+test_trilinear_c2010 :: Test
+test_trilinear_c2010 =
+ TestCase $ assertAlmostEqual "c2010 is correct" (c t 2 0 1 0) (10/3)
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c2001 for any tetrahedron belonging to the
+-- cube centered on (1,1,1) with a grid constructed from the
+-- trilinear values. See example one in the paper.
+test_trilinear_c2001 :: Test
+test_trilinear_c2001 =
+ TestCase $ assertAlmostEqual "c2001 is correct" (c t 2 0 0 1) 4
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c2100 for any tetrahedron belonging to the
+-- cube centered on (1,1,1) with a grid constructed from the
+-- trilinear values. See example one in the paper.
+test_trilinear_c2100 :: Test
+test_trilinear_c2100 =
+ TestCase $ assertAlmostEqual "c2100 is correct" (c t 2 1 0 0) (7/2)
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c3000 for any tetrahedron belonging to the
+-- cube centered on (1,1,1) with a grid constructed from the
+-- trilinear values. See example one in the paper.
+test_trilinear_c3000 :: Test
+test_trilinear_c3000 =
+ TestCase $ assertAlmostEqual "c3000 is correct" (c t 3 0 0 0) 4
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = head (tetrahedrons cube) -- Any one will do.
+
+
+
+test_trilinear_f0_t0_v0 :: Test
+test_trilinear_f0_t0_v0 =
+ TestCase $ assertClose "v0 is correct" (v0 t) (0.5, 1.5, 1.5)
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = tetrahedron0 (face0 cube) -- Any one will do.
+
+
+test_trilinear_f0_t0_v1 :: Test
+test_trilinear_f0_t0_v1 =
+ TestCase $ assertClose "v1 is correct" (v1 t) (1.5, 1.5, 1.5)
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = tetrahedron0 (face0 cube) -- Any one will do.
+
+
+test_trilinear_f0_t0_v2 :: Test
+test_trilinear_f0_t0_v2 =
+ TestCase $ assertClose "v2 is correct" (v2 t) (1, 1, 1.5)
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = tetrahedron0 (face0 cube) -- Any one will do.
+
+
+
+test_trilinear_f0_t0_v3 :: Test
+test_trilinear_f0_t0_v3 =
+ TestCase $ assertClose "v3 is correct" (v3 t) (1, 1, 1)
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = tetrahedron0 (face0 cube) -- Any one will do.
+
+
+
+face_tests :: [Test]
+face_tests = [test_trilinear_c0030,
+ test_trilinear_c0003,
+ test_trilinear_c0021,
+ test_trilinear_c0012,
+ test_trilinear_c0120,
+ test_trilinear_c0102,
+ test_trilinear_c0111,
+ test_trilinear_c0210,
+ test_trilinear_c0201,
+ test_trilinear_c0300,
+ test_trilinear_c1020,
+ test_trilinear_c1002,
+ test_trilinear_c1011,
+ test_trilinear_c1110,
+ test_trilinear_c1101,
+ test_trilinear_c1200,
+ test_trilinear_c2010,
+ test_trilinear_c2001,
+ test_trilinear_c2100,
+ test_trilinear_c3000,
+ test_trilinear_f0_t0_v0,
+ test_trilinear_f0_t0_v1,
+ test_trilinear_f0_t0_v2,
+ test_trilinear_f0_t0_v3]
+
+
-- QuickCheck Tests.
-- | Since the grid size is necessarily positive, all tetrahedrons
projects / spline3.git / blobdiff